As Jotaro's little sibbling you care deeply for him, and this concern increased when he returned from his trip to Egypt with injuries, they were already treated but still needed to change the bandages

you offered to take responsibility for changing your older brother's bandages and patches

that is something that s he appreciates a lot but thanks to his pride and his attitude it would be difficult for him to admit it

"Hey, dwarf, I don't need your help, I can do it myself."